Finding the Third Proportional to 772.34 and 1,666.17

Step by Step Solution

1. Step 1: Write the proportion equation
   772.34 : 1,666.17 = 1,666.17 : x
2. Step 2: Convert to fraction form
   772.34/1,666.17 = 1,666.17/x
3. Step 3: Cross multiply
   772.34x = 1,666.17 × 1,666.17
4. Step 4: Simplify right side
   772.34x = 2,776,128.72
5. Step 5: Solve for x
   x = 2,776,128.72/772.34
6. Step 6: Final answer
   x = 3,594.46